1110 from Binary to Gray Code
Converting a binary number to Gray code involves performing a bitwise exclusive OR (XOR) operation between each pair of adjacent bits in the binary representation. Here's a step-by-step guide with an example for binary number 1110:
Step 1: Write Down the First Bit of the Gray Code
Write down the first bit of the Gray code as the same as the first bit of the binary number.
FIRST BIT OF GRAY CODE: 1
Step 2: perform the XOR operation of the first and the second bits of the binary number
The 1st bit is 1, and the 2nd bit is 1. These bits are the same, so the second bit of the Gray code is 0.
Step 3: perform the XOR operation of the second and the third bits of the binary number
The 2nd bit is 1, and the 3rd bit is 1. These bits are the same, so the third bit of the Gray code is 0.
Step 4: perform the XOR operation of the third and the fourth bits of the binary number
The 3rd bit is 1, and the 4th bit is 0. Both the bits are different, so the fourth bit of the Gray code is 1.
So, the Gray code for the binary number1110 is 1001.
Binary To Gray Code Converter
Other examples of Binary To Gray Code conversion